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Liouville theorems for nondiagonal elliptic systems in arbitrary dimensions. (English) Zbl 0454.35034


MSC:

35J60 Nonlinear elliptic equations
35B05 Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs

Citations:

Zbl 0426.35034
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References:

[1] Campanato, S.: Equazioni ellittiche del II0 ordine e spaziL (2,?). Ann. Mat. Pura e Appl.69, 321-381 (1965) · Zbl 0145.36603 · doi:10.1007/BF02414377
[2] Canfora, A.: Teorema del massimo modulo e teorema di esistenza per il problema di Dirichlet relativo ai sistemi fortemente ellittici. Richerche di Mat.15, 249-294 (1966) · Zbl 0152.11003
[3] Frehse, J.: Essential selfadjointness of singular elliptic operators. Boll. Soc. Bras. Mat.8.2, 87-107 (1977) · Zbl 0448.47029 · doi:10.1007/BF02584723
[4] Giaquinta, M., Modica, G.: Regularity results for some classes of higher order non linear elliptic systems. Journal Reine Angew. Math.311/312, 145-169 (1979) · Zbl 0409.35015
[5] Giusti, E., Miranda, M.: Sulla Regolarità delle Soluzioni Deboli di una Classe di Sistemi Ellittici Quasi-lineari. Archive Rat. Mech. Anal.31, 173-184 (1968) · Zbl 0167.10703 · doi:10.1007/BF00282679
[6] Ivert, P.-A.: Regularitätsuntersuchungen von Lösungen elliptischer Systeme von quasilinearen Differentialgleichungen zweiter Ordnung. Linköping Studies in Science and Technology. Dissertations No. 31 (1978) · Zbl 0429.35033
[7] Ivert, P.-A.: On quasilinear elliptic systems of diagonal form. Math. Z.170, 283-286 (1980) · Zbl 0417.35010 · doi:10.1007/BF01214867
[8] Hildebrandt, S., Widman, K.-O.: Sätze vom Liouvilleschen Typ für quasilineare elliptische Gleichungen und Systeme. Nachrichten der Akad. Wiss. Göttingen, Nr. 4, 41-59 (1979) · Zbl 0426.35037
[9] Kadlec, J., Ne?as, J.: Sulla Regolarità delle Soluzioni di Equazioni Ellittiche negli SpaziH k,?. Annali Scuola Norm. Sup. Pisa21, 527-545 (1967)
[10] Meier, M.: Liouville theorems for nonlinear elliptic equations and systems. Manuscripta Math.29, 207-228 (1979) · Zbl 0426.35034 · doi:10.1007/BF01303628
[11] Sperner, E.: Über eine scharfe Schranke in der Regularitätstheorie elliptischer Systeme. Math. Z.156, 255-263 (1977) · Zbl 0363.35012 · doi:10.1007/BF01214413
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